TSTP Solution File: TOP050-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : TOP050-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:41:06 EDT 2024
% Result : Unsatisfiable 8.21s 1.71s
% Output : CNFRefutation 8.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 35
% Syntax : Number of clauses : 316 ( 316 unt; 0 nHn; 262 RR)
% Number of literals : 316 ( 315 equ; 22 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 32 con; 0-31 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle) ).
cnf(c_50,plain,
product(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_01) ).
cnf(c_51,plain,
product(product(X0,X1),product(X2,X1)) = product(product(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).
cnf(c_52,plain,
product(a1,a31) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot) ).
cnf(c_53,plain,
product(a2,a25) = a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_03) ).
cnf(c_54,plain,
product(a3,a29) = a4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_04) ).
cnf(c_55,plain,
product(a4,a11) = a5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_05) ).
cnf(c_56,plain,
product(a5,a15) = a6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_06) ).
cnf(c_57,plain,
product(a7,a19) = a8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_07) ).
cnf(c_58,plain,
product(a8,a5) = a9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_08) ).
cnf(c_59,plain,
product(a9,a17) = a10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_09) ).
cnf(c_60,plain,
product(a10,a7) = a11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_10) ).
cnf(c_61,plain,
product(a11,a5) = a12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_11) ).
cnf(c_62,plain,
product(a12,a19) = a13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_12) ).
cnf(c_63,plain,
product(a13,a7) = a14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_13) ).
cnf(c_64,plain,
product(a14,a17) = a15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_14) ).
cnf(c_65,plain,
product(a15,a5) = a16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_15) ).
cnf(c_66,plain,
product(a16,a19) = a17,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_16) ).
cnf(c_67,plain,
product(a17,a9) = a18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_17) ).
cnf(c_68,plain,
product(a18,a15) = a19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_18) ).
cnf(c_69,plain,
product(a19,a11) = a20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_19) ).
cnf(c_70,plain,
product(a20,a29) = a21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_20) ).
cnf(c_71,plain,
product(a21,a25) = a22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_21) ).
cnf(c_72,plain,
product(a22,a31) = a23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_22) ).
cnf(c_73,plain,
product(a23,a21) = a24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_23) ).
cnf(c_74,plain,
product(a24,a3) = a25,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_24) ).
cnf(c_75,plain,
product(a25,a23) = a26,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_25) ).
cnf(c_76,plain,
product(a26,a1) = a27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_26) ).
cnf(c_77,plain,
product(a27,a21) = a28,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_27) ).
cnf(c_78,plain,
product(a28,a3) = a29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_28) ).
cnf(c_79,plain,
product(a29,a1) = a30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_29) ).
cnf(c_80,plain,
product(a30,a23) = a31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_30) ).
cnf(c_81,plain,
product(a31,a3) = a32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_31) ).
cnf(c_82,plain,
product(a32,a21) = a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_32) ).
cnf(c_83,negated_conjecture,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_316,plain,
product(a2,a31) = a1,
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_317,plain,
product(a3,a25) = a2,
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_318,plain,
product(a4,a29) = a3,
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_319,plain,
product(a5,a11) = a4,
inference(superposition,[status(thm)],[c_55,c_50]) ).
cnf(c_321,plain,
product(a8,a19) = a7,
inference(superposition,[status(thm)],[c_57,c_50]) ).
cnf(c_322,plain,
product(a9,a5) = a8,
inference(superposition,[status(thm)],[c_58,c_50]) ).
cnf(c_323,plain,
product(a10,a17) = a9,
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_324,plain,
product(a11,a7) = a10,
inference(superposition,[status(thm)],[c_60,c_50]) ).
cnf(c_325,plain,
product(a12,a5) = a11,
inference(superposition,[status(thm)],[c_61,c_50]) ).
cnf(c_328,plain,
product(a15,a17) = a14,
inference(superposition,[status(thm)],[c_64,c_50]) ).
cnf(c_329,plain,
product(a16,a5) = a15,
inference(superposition,[status(thm)],[c_65,c_50]) ).
cnf(c_330,plain,
product(a17,a19) = a16,
inference(superposition,[status(thm)],[c_66,c_50]) ).
cnf(c_332,plain,
product(a19,a15) = a18,
inference(superposition,[status(thm)],[c_68,c_50]) ).
cnf(c_333,plain,
product(a20,a11) = a19,
inference(superposition,[status(thm)],[c_69,c_50]) ).
cnf(c_334,plain,
product(a21,a29) = a20,
inference(superposition,[status(thm)],[c_70,c_50]) ).
cnf(c_335,plain,
product(a22,a25) = a21,
inference(superposition,[status(thm)],[c_71,c_50]) ).
cnf(c_336,plain,
product(a23,a31) = a22,
inference(superposition,[status(thm)],[c_72,c_50]) ).
cnf(c_337,plain,
product(a24,a21) = a23,
inference(superposition,[status(thm)],[c_73,c_50]) ).
cnf(c_338,plain,
product(a25,a3) = a24,
inference(superposition,[status(thm)],[c_74,c_50]) ).
cnf(c_339,plain,
product(a26,a23) = a25,
inference(superposition,[status(thm)],[c_75,c_50]) ).
cnf(c_340,plain,
product(a27,a1) = a26,
inference(superposition,[status(thm)],[c_76,c_50]) ).
cnf(c_341,plain,
product(a28,a21) = a27,
inference(superposition,[status(thm)],[c_77,c_50]) ).
cnf(c_342,plain,
product(a29,a3) = a28,
inference(superposition,[status(thm)],[c_78,c_50]) ).
cnf(c_344,plain,
product(a31,a23) = a30,
inference(superposition,[status(thm)],[c_80,c_50]) ).
cnf(c_345,plain,
product(a32,a3) = a31,
inference(superposition,[status(thm)],[c_81,c_50]) ).
cnf(c_346,plain,
product(a1,a21) = a32,
inference(superposition,[status(thm)],[c_82,c_50]) ).
cnf(c_351,plain,
product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_354,plain,
product(product(a1,X0),a31) = product(a2,product(X0,a31)),
inference(superposition,[status(thm)],[c_52,c_51]) ).
cnf(c_356,plain,
product(product(a3,X0),a29) = product(a4,product(X0,a29)),
inference(superposition,[status(thm)],[c_54,c_51]) ).
cnf(c_357,plain,
product(product(a4,X0),a11) = product(a5,product(X0,a11)),
inference(superposition,[status(thm)],[c_55,c_51]) ).
cnf(c_362,plain,
product(product(a10,X0),a7) = product(a11,product(X0,a7)),
inference(superposition,[status(thm)],[c_60,c_51]) ).
cnf(c_363,plain,
product(product(a11,X0),a5) = product(a12,product(X0,a5)),
inference(superposition,[status(thm)],[c_61,c_51]) ).
cnf(c_367,plain,
product(product(a15,X0),a5) = product(a16,product(X0,a5)),
inference(superposition,[status(thm)],[c_65,c_51]) ).
cnf(c_374,plain,
product(product(a22,X0),a31) = product(a23,product(X0,a31)),
inference(superposition,[status(thm)],[c_72,c_51]) ).
cnf(c_376,plain,
product(product(a24,X0),a3) = product(a25,product(X0,a3)),
inference(superposition,[status(thm)],[c_74,c_51]) ).
cnf(c_379,plain,
product(product(a27,X0),a21) = product(a28,product(X0,a21)),
inference(superposition,[status(thm)],[c_77,c_51]) ).
cnf(c_380,plain,
product(product(a28,X0),a3) = product(a29,product(X0,a3)),
inference(superposition,[status(thm)],[c_78,c_51]) ).
cnf(c_382,plain,
product(product(a30,X0),a23) = product(a31,product(X0,a23)),
inference(superposition,[status(thm)],[c_80,c_51]) ).
cnf(c_383,plain,
product(product(a31,X0),a3) = product(a32,product(X0,a3)),
inference(superposition,[status(thm)],[c_81,c_51]) ).
cnf(c_390,plain,
product(product(X0,a1),a31) = product(product(X0,a31),a2),
inference(superposition,[status(thm)],[c_52,c_51]) ).
cnf(c_392,plain,
product(product(X0,a3),a29) = product(product(X0,a29),a4),
inference(superposition,[status(thm)],[c_54,c_51]) ).
cnf(c_393,plain,
product(product(X0,a4),a11) = product(product(X0,a11),a5),
inference(superposition,[status(thm)],[c_55,c_51]) ).
cnf(c_399,plain,
product(product(X0,a11),a5) = product(product(X0,a5),a12),
inference(superposition,[status(thm)],[c_61,c_51]) ).
cnf(c_402,plain,
product(product(X0,a17),a15) = product(product(X0,a14),a17),
inference(superposition,[status(thm)],[c_64,c_51]) ).
cnf(c_409,plain,
product(product(X0,a25),a22) = product(product(X0,a21),a25),
inference(superposition,[status(thm)],[c_71,c_51]) ).
cnf(c_410,plain,
product(product(X0,a31),a23) = product(product(X0,a22),a31),
inference(superposition,[status(thm)],[c_72,c_51]) ).
cnf(c_411,plain,
product(product(X0,a21),a24) = product(product(X0,a23),a21),
inference(superposition,[status(thm)],[c_73,c_51]) ).
cnf(c_412,plain,
product(product(X0,a3),a25) = product(product(X0,a24),a3),
inference(superposition,[status(thm)],[c_74,c_51]) ).
cnf(c_418,plain,
product(product(X0,a23),a31) = product(product(X0,a30),a23),
inference(superposition,[status(thm)],[c_80,c_51]) ).
cnf(c_419,plain,
product(product(X0,a31),a3) = product(product(X0,a3),a32),
inference(superposition,[status(thm)],[c_81,c_51]) ).
cnf(c_422,plain,
product(product(X0,a25),a2) = product(product(X0,a3),a25),
inference(superposition,[status(thm)],[c_317,c_51]) ).
cnf(c_504,plain,
product(product(a5,X0),a11) = product(a4,product(X0,a11)),
inference(superposition,[status(thm)],[c_319,c_51]) ).
cnf(c_515,plain,
product(product(a8,X0),a19) = product(a7,product(X0,a19)),
inference(superposition,[status(thm)],[c_321,c_51]) ).
cnf(c_532,plain,
product(product(X0,a11),a7) = product(product(X0,a7),a10),
inference(superposition,[status(thm)],[c_324,c_51]) ).
cnf(c_550,plain,
product(product(a15,X0),a17) = product(a14,product(X0,a17)),
inference(superposition,[status(thm)],[c_328,c_51]) ).
cnf(c_555,plain,
product(product(a16,X0),a5) = product(a15,product(X0,a5)),
inference(superposition,[status(thm)],[c_329,c_51]) ).
cnf(c_571,plain,
product(product(a19,X0),a15) = product(a18,product(X0,a15)),
inference(superposition,[status(thm)],[c_332,c_51]) ).
cnf(c_593,plain,
product(product(X0,a31),a22) = product(product(X0,a23),a31),
inference(superposition,[status(thm)],[c_336,c_51]) ).
cnf(c_653,plain,
product(a4,product(a11,a4)) = product(a5,a4),
inference(superposition,[status(thm)],[c_55,c_351]) ).
cnf(c_658,plain,
product(a10,product(a7,a10)) = product(a11,a10),
inference(superposition,[status(thm)],[c_60,c_351]) ).
cnf(c_659,plain,
product(a11,product(a5,a11)) = product(a12,a11),
inference(superposition,[status(thm)],[c_61,c_351]) ).
cnf(c_682,plain,
product(a3,product(a25,a3)) = product(a2,a3),
inference(superposition,[status(thm)],[c_317,c_351]) ).
cnf(c_683,plain,
product(a4,product(a29,a4)) = product(a3,a4),
inference(superposition,[status(thm)],[c_318,c_351]) ).
cnf(c_690,plain,
product(a12,product(a5,a12)) = product(a11,a12),
inference(superposition,[status(thm)],[c_325,c_351]) ).
cnf(c_695,plain,
product(a17,product(a19,a17)) = product(a16,a17),
inference(superposition,[status(thm)],[c_330,c_351]) ).
cnf(c_707,plain,
product(a29,product(a3,a29)) = product(a28,a29),
inference(superposition,[status(thm)],[c_342,c_351]) ).
cnf(c_709,plain,
product(a31,product(a23,a31)) = product(a30,a31),
inference(superposition,[status(thm)],[c_344,c_351]) ).
cnf(c_710,plain,
product(a32,product(a3,a32)) = product(a31,a32),
inference(superposition,[status(thm)],[c_345,c_351]) ).
cnf(c_721,plain,
product(a31,a22) = product(a30,a31),
inference(light_normalisation,[status(thm)],[c_709,c_336]) ).
cnf(c_722,plain,
product(a29,a4) = product(a28,a29),
inference(light_normalisation,[status(thm)],[c_707,c_54]) ).
cnf(c_726,plain,
product(a2,a3) = product(a3,a24),
inference(light_normalisation,[status(thm)],[c_682,c_338]) ).
cnf(c_729,plain,
product(a11,a4) = product(a12,a11),
inference(light_normalisation,[status(thm)],[c_659,c_319]) ).
cnf(c_749,plain,
product(product(a31,a22),a31) = a30,
inference(superposition,[status(thm)],[c_721,c_50]) ).
cnf(c_785,plain,
product(product(a11,a4),a11) = a12,
inference(superposition,[status(thm)],[c_729,c_50]) ).
cnf(c_965,plain,
product(product(a11,a10),product(a7,a10)) = a10,
inference(superposition,[status(thm)],[c_658,c_50]) ).
cnf(c_1091,plain,
product(product(a3,a4),product(a29,a4)) = a4,
inference(superposition,[status(thm)],[c_683,c_50]) ).
cnf(c_1207,plain,
product(product(a11,a12),product(a5,a12)) = a12,
inference(superposition,[status(thm)],[c_690,c_50]) ).
cnf(c_1277,plain,
product(product(a16,a17),product(a19,a17)) = a17,
inference(superposition,[status(thm)],[c_695,c_50]) ).
cnf(c_1423,plain,
product(product(a31,a32),product(a3,a32)) = a32,
inference(superposition,[status(thm)],[c_710,c_50]) ).
cnf(c_1742,plain,
product(a2,product(a31,a31)) = a1,
inference(superposition,[status(thm)],[c_354,c_50]) ).
cnf(c_1918,plain,
product(a4,product(a29,a29)) = a3,
inference(superposition,[status(thm)],[c_356,c_50]) ).
cnf(c_1929,plain,
product(a3,product(a29,a29)) = a4,
inference(superposition,[status(thm)],[c_1918,c_50]) ).
cnf(c_1937,plain,
product(product(X0,product(a29,a29)),a4) = product(product(X0,a3),product(a29,a29)),
inference(superposition,[status(thm)],[c_1929,c_51]) ).
cnf(c_2003,plain,
product(a5,product(product(a11,a4),a11)) = product(product(a5,a4),a11),
inference(superposition,[status(thm)],[c_653,c_357]) ).
cnf(c_2017,plain,
product(product(a5,a4),a11) = product(a5,a12),
inference(light_normalisation,[status(thm)],[c_2003,c_785]) ).
cnf(c_2455,plain,
product(a11,product(a7,a7)) = a10,
inference(superposition,[status(thm)],[c_362,c_50]) ).
cnf(c_2466,plain,
product(a10,product(a7,a7)) = a11,
inference(superposition,[status(thm)],[c_2455,c_50]) ).
cnf(c_2544,plain,
product(a12,product(a5,a5)) = a11,
inference(superposition,[status(thm)],[c_363,c_50]) ).
cnf(c_2555,plain,
product(a11,product(a5,a5)) = a12,
inference(superposition,[status(thm)],[c_2544,c_50]) ).
cnf(c_2563,plain,
product(product(X0,product(a5,a5)),a12) = product(product(X0,a11),product(a5,a5)),
inference(superposition,[status(thm)],[c_2555,c_51]) ).
cnf(c_2934,plain,
product(a16,product(a5,a5)) = a15,
inference(superposition,[status(thm)],[c_367,c_50]) ).
cnf(c_2945,plain,
product(a15,product(a5,a5)) = a16,
inference(superposition,[status(thm)],[c_2934,c_50]) ).
cnf(c_3565,plain,
product(a23,product(a31,a31)) = a22,
inference(superposition,[status(thm)],[c_374,c_50]) ).
cnf(c_3578,plain,
product(a22,product(a31,a31)) = a23,
inference(superposition,[status(thm)],[c_3565,c_50]) ).
cnf(c_3760,plain,
product(a25,product(a3,a3)) = a24,
inference(superposition,[status(thm)],[c_376,c_50]) ).
cnf(c_3989,plain,
product(a28,product(a1,a21)) = product(a26,a21),
inference(superposition,[status(thm)],[c_340,c_379]) ).
cnf(c_3996,plain,
product(a28,product(a21,a21)) = a27,
inference(superposition,[status(thm)],[c_379,c_50]) ).
cnf(c_3998,plain,
product(a26,a21) = product(a28,a32),
inference(light_normalisation,[status(thm)],[c_3989,c_346]) ).
cnf(c_4008,plain,
product(a27,product(a21,a21)) = a28,
inference(superposition,[status(thm)],[c_3996,c_50]) ).
cnf(c_4024,plain,
product(a29,product(a21,a3)) = product(a27,a3),
inference(superposition,[status(thm)],[c_341,c_380]) ).
cnf(c_4046,plain,
product(product(a26,a21),a3) = product(a29,product(a32,a3)),
inference(superposition,[status(thm)],[c_3998,c_380]) ).
cnf(c_4047,plain,
product(product(a26,a21),a3) = product(a29,a31),
inference(light_normalisation,[status(thm)],[c_4046,c_345]) ).
cnf(c_4221,plain,
product(a32,product(a3,a3)) = a31,
inference(superposition,[status(thm)],[c_383,c_50]) ).
cnf(c_4232,plain,
product(a31,product(a3,a3)) = a32,
inference(superposition,[status(thm)],[c_4221,c_50]) ).
cnf(c_4240,plain,
product(product(X0,product(a3,a3)),a32) = product(product(X0,a31),product(a3,a3)),
inference(superposition,[status(thm)],[c_4232,c_51]) ).
cnf(c_4851,plain,
product(product(a29,a31),a2) = product(a30,a31),
inference(superposition,[status(thm)],[c_79,c_390]) ).
cnf(c_4866,plain,
product(product(a29,a31),a2) = product(a31,a22),
inference(light_normalisation,[status(thm)],[c_4851,c_721]) ).
cnf(c_4972,plain,
product(product(a29,a4),a4) = product(product(a28,a3),a29),
inference(superposition,[status(thm)],[c_722,c_392]) ).
cnf(c_4985,plain,
product(product(a29,a4),a4) = product(a29,a29),
inference(light_normalisation,[status(thm)],[c_4972,c_78]) ).
cnf(c_5153,plain,
product(product(a29,a29),a4) = product(a29,a4),
inference(superposition,[status(thm)],[c_4985,c_50]) ).
cnf(c_5215,plain,
product(product(X0,product(a29,a29)),a4) = product(product(X0,a4),product(a29,a4)),
inference(superposition,[status(thm)],[c_5153,c_51]) ).
cnf(c_5219,plain,
product(product(X0,a3),product(a29,a29)) = product(product(X0,a4),product(a29,a4)),
inference(light_normalisation,[status(thm)],[c_5215,c_1937]) ).
cnf(c_5221,plain,
product(product(a3,a3),product(a29,a29)) = a4,
inference(demodulation,[status(thm)],[c_1091,c_5219]) ).
cnf(c_5236,plain,
product(product(a3,a3),a29) = a4,
inference(superposition,[status(thm)],[c_49,c_5221]) ).
cnf(c_5261,plain,
product(product(X0,a4),a11) = product(product(X0,a5),a12),
inference(light_normalisation,[status(thm)],[c_393,c_399]) ).
cnf(c_5263,plain,
product(product(a5,a5),a12) = product(a5,a12),
inference(demodulation,[status(thm)],[c_2017,c_5261]) ).
cnf(c_5344,plain,
product(product(X0,product(a5,a5)),a12) = product(product(X0,a12),product(a5,a12)),
inference(superposition,[status(thm)],[c_5263,c_51]) ).
cnf(c_5345,plain,
product(product(X0,a11),product(a5,a5)) = product(product(X0,a12),product(a5,a12)),
inference(light_normalisation,[status(thm)],[c_5344,c_2563]) ).
cnf(c_5347,plain,
product(product(a11,a11),product(a5,a5)) = a12,
inference(demodulation,[status(thm)],[c_1207,c_5345]) ).
cnf(c_5956,plain,
product(product(a17,a17),a15) = product(a17,product(a14,a17)),
inference(superposition,[status(thm)],[c_402,c_351]) ).
cnf(c_5962,plain,
product(product(a17,a17),a15) = product(a17,a15),
inference(light_normalisation,[status(thm)],[c_5956,c_64]) ).
cnf(c_6015,plain,
product(product(a17,a15),a15) = product(a17,a17),
inference(superposition,[status(thm)],[c_5962,c_50]) ).
cnf(c_6918,plain,
product(product(a25,a21),a25) = product(a25,a22),
inference(superposition,[status(thm)],[c_49,c_409]) ).
cnf(c_7086,plain,
product(product(a31,a31),a23) = a30,
inference(demodulation,[status(thm)],[c_749,c_410]) ).
cnf(c_7140,plain,
product(product(a25,a21),a24) = product(a26,a21),
inference(superposition,[status(thm)],[c_75,c_411]) ).
cnf(c_7141,plain,
product(product(a30,a21),a24) = product(a31,a21),
inference(superposition,[status(thm)],[c_80,c_411]) ).
cnf(c_7204,plain,
product(product(product(a25,a21),a3),a25) = product(product(a26,a21),a3),
inference(superposition,[status(thm)],[c_7140,c_412]) ).
cnf(c_7224,plain,
product(product(product(a25,a21),a3),a25) = product(a29,a31),
inference(light_normalisation,[status(thm)],[c_7204,c_4047]) ).
cnf(c_7809,plain,
product(product(X0,a31),a22) = product(product(X0,a30),a23),
inference(light_normalisation,[status(thm)],[c_418,c_593]) ).
cnf(c_7829,plain,
product(product(a30,a31),a22) = product(a31,product(a30,a23)),
inference(superposition,[status(thm)],[c_7809,c_382]) ).
cnf(c_7831,plain,
product(product(a31,a22),a22) = product(a31,a31),
inference(light_normalisation,[status(thm)],[c_7829,c_80,c_721]) ).
cnf(c_7943,plain,
product(product(a3,a3),a32) = product(a3,product(a31,a3)),
inference(superposition,[status(thm)],[c_419,c_351]) ).
cnf(c_7953,plain,
product(product(a3,a3),a32) = product(a3,a32),
inference(light_normalisation,[status(thm)],[c_7943,c_81]) ).
cnf(c_7999,plain,
product(product(X0,product(a3,a3)),a32) = product(product(X0,a32),product(a3,a32)),
inference(superposition,[status(thm)],[c_7953,c_51]) ).
cnf(c_8000,plain,
product(product(X0,a31),product(a3,a3)) = product(product(X0,a32),product(a3,a32)),
inference(light_normalisation,[status(thm)],[c_7999,c_4240]) ).
cnf(c_8002,plain,
product(product(a31,a31),product(a3,a3)) = a32,
inference(demodulation,[status(thm)],[c_1423,c_8000]) ).
cnf(c_8184,plain,
product(product(product(a25,a21),a3),a25) = product(product(a25,a22),a2),
inference(superposition,[status(thm)],[c_6918,c_422]) ).
cnf(c_8209,plain,
product(product(a25,a22),a2) = product(a29,a31),
inference(light_normalisation,[status(thm)],[c_8184,c_7224]) ).
cnf(c_8270,plain,
product(product(a29,a31),a2) = product(a25,a22),
inference(superposition,[status(thm)],[c_8209,c_50]) ).
cnf(c_8274,plain,
product(a31,a22) = product(a25,a22),
inference(light_normalisation,[status(thm)],[c_8270,c_4866]) ).
cnf(c_8288,plain,
product(product(a31,a22),a22) = a25,
inference(superposition,[status(thm)],[c_8274,c_50]) ).
cnf(c_8295,plain,
product(a31,a31) = a25,
inference(demodulation,[status(thm)],[c_7831,c_8288]) ).
cnf(c_8299,plain,
product(a25,product(a3,a3)) = a32,
inference(demodulation,[status(thm)],[c_8002,c_8295]) ).
cnf(c_8304,plain,
product(a25,a23) = a30,
inference(demodulation,[status(thm)],[c_7086,c_8295]) ).
cnf(c_8312,plain,
product(a22,a25) = a23,
inference(demodulation,[status(thm)],[c_3578,c_8295]) ).
cnf(c_8319,plain,
product(a2,a25) = a1,
inference(demodulation,[status(thm)],[c_1742,c_8295]) ).
cnf(c_8320,plain,
a1 = a3,
inference(light_normalisation,[status(thm)],[c_8319,c_53]) ).
cnf(c_8395,plain,
product(a3,a21) = a32,
inference(demodulation,[status(thm)],[c_346,c_8320]) ).
cnf(c_8397,plain,
product(a27,a3) = a26,
inference(demodulation,[status(thm)],[c_340,c_8320]) ).
cnf(c_8398,plain,
product(a2,a31) = a3,
inference(demodulation,[status(thm)],[c_316,c_8320]) ).
cnf(c_8400,plain,
product(a29,a3) = a30,
inference(demodulation,[status(thm)],[c_79,c_8320]) ).
cnf(c_8402,plain,
product(a3,a31) = a2,
inference(demodulation,[status(thm)],[c_52,c_8320]) ).
cnf(c_8403,plain,
tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a3,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(demodulation,[status(thm)],[c_83,c_8320]) ).
cnf(c_8408,plain,
a28 = a30,
inference(light_normalisation,[status(thm)],[c_8400,c_342]) ).
cnf(c_8417,plain,
product(product(a28,a21),a24) = product(a31,a21),
inference(demodulation,[status(thm)],[c_7141,c_8408]) ).
cnf(c_8436,plain,
product(a31,a21) = product(a27,a24),
inference(light_normalisation,[status(thm)],[c_8417,c_341]) ).
cnf(c_8439,plain,
product(a29,product(a21,a3)) = a26,
inference(demodulation,[status(thm)],[c_4024,c_8397]) ).
cnf(c_8481,plain,
a21 = a23,
inference(light_normalisation,[status(thm)],[c_8312,c_335]) ).
cnf(c_8518,plain,
product(a26,a21) = a25,
inference(demodulation,[status(thm)],[c_339,c_8481]) ).
cnf(c_8519,plain,
product(a24,a21) = a21,
inference(demodulation,[status(thm)],[c_337,c_8481]) ).
cnf(c_8520,plain,
product(a21,a31) = a22,
inference(demodulation,[status(thm)],[c_336,c_8481]) ).
cnf(c_8522,plain,
product(a21,a21) = a24,
inference(demodulation,[status(thm)],[c_73,c_8481]) ).
cnf(c_8533,plain,
product(a27,a24) = a28,
inference(demodulation,[status(thm)],[c_4008,c_8522]) ).
cnf(c_8551,plain,
a24 = a32,
inference(light_normalisation,[status(thm)],[c_8299,c_3760]) ).
cnf(c_8560,plain,
product(a24,a3) = a31,
inference(demodulation,[status(thm)],[c_345,c_8551]) ).
cnf(c_8561,plain,
product(a31,a3) = a24,
inference(demodulation,[status(thm)],[c_81,c_8551]) ).
cnf(c_8562,plain,
a31 = a25,
inference(light_normalisation,[status(thm)],[c_8560,c_74]) ).
cnf(c_8610,plain,
product(a24,a3) = a31,
inference(demodulation,[status(thm)],[c_74,c_8562]) ).
cnf(c_8640,plain,
tuple(a2,a31,a24,a3,a31,a26,a4,a29,a28,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a21,a24,a27,a28) != tuple(a3,a28,a31,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a21,a26,a27),
inference(light_normalisation,[status(thm)],[c_8403,c_8408,c_8481,c_8551,c_8562]) ).
cnf(c_8738,plain,
product(a31,a21) = a28,
inference(light_normalisation,[status(thm)],[c_8304,c_8408,c_8481,c_8562]) ).
cnf(c_8741,plain,
product(a28,a21) = a31,
inference(superposition,[status(thm)],[c_8738,c_50]) ).
cnf(c_8744,plain,
a31 = a27,
inference(demodulation,[status(thm)],[c_341,c_8741]) ).
cnf(c_8745,plain,
tuple(a2,a31,a24,a3,a31,a26,a4,a29,a28,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a21,a24,a31,a28) != tuple(a3,a28,a31,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a21,a26,a31),
inference(demodulation,[status(thm)],[c_8640,c_8744]) ).
cnf(c_8762,plain,
product(a29,product(a21,a3)) = product(a31,a3),
inference(superposition,[status(thm)],[c_8741,c_380]) ).
cnf(c_8763,plain,
a24 = a26,
inference(light_normalisation,[status(thm)],[c_8762,c_8439,c_8561]) ).
cnf(c_8764,plain,
tuple(a2,a31,a24,a3,a31,a24,a4,a29,a28,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a21,a24,a31,a28) != tuple(a3,a28,a31,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a21,a24,a31),
inference(demodulation,[status(thm)],[c_8745,c_8763]) ).
cnf(c_8830,plain,
product(a3,a21) = a24,
inference(light_normalisation,[status(thm)],[c_8395,c_8551]) ).
cnf(c_8833,plain,
product(a24,a21) = a3,
inference(superposition,[status(thm)],[c_8830,c_50]) ).
cnf(c_9037,plain,
a31 = a3,
inference(light_normalisation,[status(thm)],[c_8518,c_8562,c_8763,c_8833]) ).
cnf(c_9038,plain,
product(a3,a3) = a2,
inference(demodulation,[status(thm)],[c_8402,c_9037]) ).
cnf(c_9039,plain,
product(a2,a3) = a3,
inference(demodulation,[status(thm)],[c_8398,c_9037]) ).
cnf(c_9040,plain,
tuple(a2,a3,a24,a3,a3,a24,a4,a29,a28,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a21,a24,a3,a28) != tuple(a3,a28,a3,a2,a24,a3,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a21,a24,a3),
inference(demodulation,[status(thm)],[c_8764,c_9037]) ).
cnf(c_9042,plain,
a3 = a27,
inference(demodulation,[status(thm)],[c_8744,c_9037]) ).
cnf(c_9043,plain,
product(a3,a21) = a28,
inference(demodulation,[status(thm)],[c_8738,c_9037]) ).
cnf(c_9047,plain,
a24 = a28,
inference(light_normalisation,[status(thm)],[c_9043,c_8830]) ).
cnf(c_9048,plain,
product(a3,a24) = a3,
inference(light_normalisation,[status(thm)],[c_9039,c_726]) ).
cnf(c_9055,plain,
product(a2,a29) = a4,
inference(demodulation,[status(thm)],[c_5236,c_9038]) ).
cnf(c_9084,plain,
product(a24,a3) = a29,
inference(demodulation,[status(thm)],[c_78,c_9047]) ).
cnf(c_9085,plain,
a3 = a29,
inference(light_normalisation,[status(thm)],[c_9084,c_8610,c_9037]) ).
cnf(c_9120,plain,
product(a21,a3) = a20,
inference(demodulation,[status(thm)],[c_334,c_9085]) ).
cnf(c_9140,plain,
product(a2,a3) = a3,
inference(demodulation,[status(thm)],[c_726,c_9048]) ).
cnf(c_9149,plain,
tuple(a2,a3,a24,a3,a3,a24,a4,a3,a24,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a21,a24,a3,a24) != tuple(a3,a24,a3,a2,a24,a3,a3,a24,a3,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a21,a24,a3),
inference(light_normalisation,[status(thm)],[c_9040,c_9047,c_9085]) ).
cnf(c_9352,plain,
a3 = a21,
inference(light_normalisation,[status(thm)],[c_8519,c_8833]) ).
cnf(c_9353,plain,
tuple(a2,a3,a24,a3,a3,a24,a4,a3,a24,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a22,a3,a24,a3,a24) != tuple(a3,a24,a3,a2,a24,a3,a3,a24,a3,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a22,a3,a24,a3),
inference(demodulation,[status(thm)],[c_9149,c_9352]) ).
cnf(c_9355,plain,
product(a3,a3) = a24,
inference(demodulation,[status(thm)],[c_8830,c_9352]) ).
cnf(c_9357,plain,
a2 = a24,
inference(light_normalisation,[status(thm)],[c_9355,c_9038]) ).
cnf(c_9360,plain,
a2 = a28,
inference(demodulation,[status(thm)],[c_9047,c_9357]) ).
cnf(c_9363,plain,
tuple(a2,a3,a2,a3,a3,a2,a4,a3,a2,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a22,a3,a2,a3,a2) != tuple(a3,a2,a3,a2,a2,a3,a3,a2,a3,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a22,a3,a2,a3),
inference(light_normalisation,[status(thm)],[c_9353,c_9357]) ).
cnf(c_9431,plain,
a2 = a22,
inference(light_normalisation,[status(thm)],[c_8520,c_9037,c_9038,c_9352]) ).
cnf(c_9432,plain,
tuple(a2,a3,a2,a3,a3,a2,a4,a3,a2,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a2,a3,a2,a3,a2) != tuple(a3,a2,a3,a2,a2,a3,a3,a2,a3,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a2,a3,a2,a3),
inference(demodulation,[status(thm)],[c_9363,c_9431]) ).
cnf(c_9529,plain,
product(a3,a2) = a2,
inference(light_normalisation,[status(thm)],[c_8533,c_8436,c_9042,c_9357,c_9360]) ).
cnf(c_9530,plain,
product(a3,product(a2,a3)) = product(a2,a3),
inference(superposition,[status(thm)],[c_9529,c_351]) ).
cnf(c_9534,plain,
a2 = a3,
inference(light_normalisation,[status(thm)],[c_9530,c_9038,c_9140]) ).
cnf(c_9536,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a4,a3,a3,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_9432,c_9534]) ).
cnf(c_9547,plain,
product(product(a7,a11),a7) = product(a7,a10),
inference(superposition,[status(thm)],[c_49,c_532]) ).
cnf(c_9584,plain,
product(product(a7,a10),a7) = product(a7,a11),
inference(superposition,[status(thm)],[c_9547,c_50]) ).
cnf(c_9922,plain,
a3 = a4,
inference(light_normalisation,[status(thm)],[c_9055,c_9038,c_9085,c_9534]) ).
cnf(c_9923,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_9536,c_9922]) ).
cnf(c_9927,plain,
product(product(a5,X0),a11) = product(a3,product(X0,a11)),
inference(demodulation,[status(thm)],[c_504,c_9922]) ).
cnf(c_9950,plain,
product(a3,a11) = a5,
inference(demodulation,[status(thm)],[c_55,c_9922]) ).
cnf(c_10028,plain,
product(a14,product(a5,a17)) = product(a16,a17),
inference(superposition,[status(thm)],[c_65,c_550]) ).
cnf(c_10063,plain,
product(product(a16,a17),product(a5,a17)) = a14,
inference(superposition,[status(thm)],[c_10028,c_50]) ).
cnf(c_10070,plain,
a3 = a20,
inference(light_normalisation,[status(thm)],[c_9120,c_9038,c_9352,c_9534]) ).
cnf(c_10071,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a6,a15,a16,a7,a8,a19,a3,a9,a10,a17,a18,a13,a14,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_9923,c_10070]) ).
cnf(c_10094,plain,
product(a3,a11) = a19,
inference(demodulation,[status(thm)],[c_333,c_10070]) ).
cnf(c_10096,plain,
a5 = a19,
inference(light_normalisation,[status(thm)],[c_10094,c_9950]) ).
cnf(c_10113,plain,
product(product(a8,X0),a5) = product(a7,product(X0,a5)),
inference(demodulation,[status(thm)],[c_515,c_10096]) ).
cnf(c_10173,plain,
product(product(a16,a17),product(a5,a17)) = a17,
inference(demodulation,[status(thm)],[c_1277,c_10096]) ).
cnf(c_10186,plain,
product(a5,a15) = a18,
inference(demodulation,[status(thm)],[c_332,c_10096]) ).
cnf(c_10189,plain,
product(a8,a5) = a7,
inference(demodulation,[status(thm)],[c_321,c_10096]) ).
cnf(c_10190,plain,
product(a18,a15) = a5,
inference(demodulation,[status(thm)],[c_68,c_10096]) ).
cnf(c_10191,plain,
product(a16,a5) = a17,
inference(demodulation,[status(thm)],[c_66,c_10096]) ).
cnf(c_10192,plain,
product(a12,a5) = a13,
inference(demodulation,[status(thm)],[c_62,c_10096]) ).
cnf(c_10197,plain,
a11 = a13,
inference(light_normalisation,[status(thm)],[c_10192,c_325]) ).
cnf(c_10219,plain,
product(a11,a7) = a14,
inference(demodulation,[status(thm)],[c_63,c_10197]) ).
cnf(c_10220,plain,
a10 = a14,
inference(light_normalisation,[status(thm)],[c_10219,c_324]) ).
cnf(c_10240,plain,
product(a10,a17) = a15,
inference(demodulation,[status(thm)],[c_64,c_10220]) ).
cnf(c_10241,plain,
a15 = a9,
inference(light_normalisation,[status(thm)],[c_10240,c_323]) ).
cnf(c_10302,plain,
product(a15,a5) = a8,
inference(demodulation,[status(thm)],[c_322,c_10241]) ).
cnf(c_10303,plain,
product(a17,a15) = a18,
inference(demodulation,[status(thm)],[c_67,c_10241]) ).
cnf(c_10304,plain,
product(a15,a17) = a10,
inference(demodulation,[status(thm)],[c_59,c_10241]) ).
cnf(c_10306,plain,
product(a17,a17) = product(a18,a15),
inference(demodulation,[status(thm)],[c_6015,c_10303]) ).
cnf(c_10308,plain,
a8 = a16,
inference(light_normalisation,[status(thm)],[c_10302,c_65]) ).
cnf(c_10330,plain,
product(a15,product(a5,a5)) = a8,
inference(demodulation,[status(thm)],[c_2945,c_10308]) ).
cnf(c_10360,plain,
a6 = a18,
inference(light_normalisation,[status(thm)],[c_10186,c_56]) ).
cnf(c_10380,plain,
a17 = a14,
inference(light_normalisation,[status(thm)],[c_10173,c_10063]) ).
cnf(c_10425,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a10,a11,a5,a10,a15,a18,a7,a18,a5,a8,a15,a8,a17,a12,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a18,a15,a8,a7,a8,a5,a3,a15,a10,a17,a18,a11,a10,a3,a3,a3,a3,a3,a3),
inference(light_normalisation,[status(thm)],[c_10071,c_10096,c_10197,c_10220,c_10241,c_10308,c_10360]) ).
cnf(c_10428,plain,
product(a15,product(X0,a5)) = product(a7,product(X0,a5)),
inference(light_normalisation,[status(thm)],[c_555,c_10113,c_10308]) ).
cnf(c_10430,plain,
product(a15,X0) = product(a7,X0),
inference(superposition,[status(thm)],[c_50,c_10428]) ).
cnf(c_10441,plain,
product(product(a7,a10),a7) = product(a15,a11),
inference(demodulation,[status(thm)],[c_9584,c_10430]) ).
cnf(c_10442,plain,
product(product(a15,a11),a7) = product(a7,a10),
inference(demodulation,[status(thm)],[c_9547,c_10430]) ).
cnf(c_10449,plain,
product(a10,product(a15,a7)) = a11,
inference(demodulation,[status(thm)],[c_2466,c_10430]) ).
cnf(c_10450,plain,
product(a11,product(a15,a7)) = a10,
inference(demodulation,[status(thm)],[c_2455,c_10430]) ).
cnf(c_10451,plain,
product(product(a11,a10),product(a15,a10)) = a10,
inference(demodulation,[status(thm)],[c_965,c_10430]) ).
cnf(c_10455,plain,
product(a15,a7) = a7,
inference(superposition,[status(thm)],[c_49,c_10430]) ).
cnf(c_10470,plain,
a17 = a10,
inference(demodulation,[status(thm)],[c_10220,c_10380]) ).
cnf(c_10471,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a17,a11,a5,a17,a15,a18,a7,a18,a5,a8,a15,a8,a17,a12,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a18,a15,a8,a7,a8,a5,a3,a15,a17,a17,a18,a11,a17,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_10425,c_10470]) ).
cnf(c_10498,plain,
product(a7,a7) = a15,
inference(superposition,[status(thm)],[c_10455,c_50]) ).
cnf(c_10503,plain,
a15 = a7,
inference(superposition,[status(thm)],[c_10498,c_49]) ).
cnf(c_10508,plain,
product(a15,a7) = a15,
inference(superposition,[status(thm)],[c_10498,c_10430]) ).
cnf(c_10516,plain,
a11 = a18,
inference(light_normalisation,[status(thm)],[c_10449,c_10303,c_10470,c_10508]) ).
cnf(c_10520,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a17,a11,a5,a17,a15,a11,a15,a11,a5,a8,a15,a8,a17,a12,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a11,a15,a8,a15,a8,a5,a3,a15,a17,a17,a11,a11,a17,a3,a3,a3,a3,a3,a3),
inference(light_normalisation,[status(thm)],[c_10471,c_10503,c_10516]) ).
cnf(c_10521,plain,
product(a11,a15) = a17,
inference(light_normalisation,[status(thm)],[c_10450,c_10470,c_10508]) ).
cnf(c_10524,plain,
product(a17,a15) = a11,
inference(superposition,[status(thm)],[c_10521,c_50]) ).
cnf(c_10539,plain,
product(a15,a11) = a11,
inference(light_normalisation,[status(thm)],[c_10441,c_10304,c_10470,c_10503,c_10524]) ).
cnf(c_10542,plain,
product(a11,a11) = a15,
inference(superposition,[status(thm)],[c_10539,c_50]) ).
cnf(c_10546,plain,
product(a15,product(a5,a5)) = a12,
inference(demodulation,[status(thm)],[c_5347,c_10542]) ).
cnf(c_10547,plain,
a8 = a12,
inference(light_normalisation,[status(thm)],[c_10546,c_10330]) ).
cnf(c_10548,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a17,a11,a5,a17,a15,a11,a15,a11,a5,a8,a15,a8,a17,a8,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a8,a11,a15,a8,a15,a8,a5,a3,a15,a17,a17,a11,a11,a17,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_10520,c_10547]) ).
cnf(c_10558,plain,
product(a8,a5) = a11,
inference(demodulation,[status(thm)],[c_325,c_10547]) ).
cnf(c_10560,plain,
a11 = a15,
inference(light_normalisation,[status(thm)],[c_10558,c_10189,c_10503]) ).
cnf(c_10564,plain,
a11 = a7,
inference(demodulation,[status(thm)],[c_10503,c_10560]) ).
cnf(c_10576,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a17,a11,a5,a17,a11,a11,a11,a11,a5,a8,a11,a8,a17,a8,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a8,a11,a11,a8,a11,a8,a5,a3,a11,a17,a17,a11,a11,a17,a3,a3,a3,a3,a3,a3),
inference(light_normalisation,[status(thm)],[c_10548,c_10560]) ).
cnf(c_10578,plain,
product(a11,a17) = a11,
inference(light_normalisation,[status(thm)],[c_10442,c_10470,c_10542,c_10560,c_10564]) ).
cnf(c_10596,plain,
a11 = a17,
inference(light_normalisation,[status(thm)],[c_10451,c_10470,c_10542,c_10560,c_10578]) ).
cnf(c_10598,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a11,a11,a5,a11,a11,a11,a11,a11,a5,a8,a11,a8,a11,a8,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a8,a11,a11,a8,a11,a8,a5,a3,a11,a11,a11,a11,a11,a11,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_10576,c_10596]) ).
cnf(c_10630,plain,
product(a3,product(X0,a11)) = product(a11,product(X0,a11)),
inference(light_normalisation,[status(thm)],[c_571,c_9927,c_10096,c_10516,c_10560]) ).
cnf(c_10632,plain,
product(a3,X0) = product(a11,X0),
inference(superposition,[status(thm)],[c_50,c_10630]) ).
cnf(c_10657,plain,
a11 = a5,
inference(light_normalisation,[status(thm)],[c_10190,c_10306,c_10516,c_10542,c_10560]) ).
cnf(c_10660,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a5,a5,a5,a5,a5,a5,a5,a5,a8,a5,a8,a5,a8,a5,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a5,a8,a5,a5,a8,a5,a8,a5,a3,a5,a5,a5,a5,a5,a5,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_10598,c_10657]) ).
cnf(c_10664,plain,
a5 = a17,
inference(demodulation,[status(thm)],[c_10596,c_10657]) ).
cnf(c_10673,plain,
product(a3,X0) = product(a5,X0),
inference(light_normalisation,[status(thm)],[c_10632,c_10657]) ).
cnf(c_10678,plain,
product(product(a3,X0),X0) = a5,
inference(superposition,[status(thm)],[c_10673,c_50]) ).
cnf(c_10690,plain,
a3 = a5,
inference(superposition,[status(thm)],[c_10678,c_50]) ).
cnf(c_10705,plain,
a3 = a17,
inference(light_normalisation,[status(thm)],[c_10664,c_10690]) ).
cnf(c_10707,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a8,a3,a8,a3,a8,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a8,a3,a3,a8,a3,a8,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(light_normalisation,[status(thm)],[c_10660,c_10690]) ).
cnf(c_10721,plain,
product(a8,a3) = a3,
inference(light_normalisation,[status(thm)],[c_10191,c_10308,c_10690,c_10705]) ).
cnf(c_10724,plain,
product(a3,a3) = a8,
inference(superposition,[status(thm)],[c_10721,c_50]) ).
cnf(c_10726,plain,
a3 = a8,
inference(light_normalisation,[status(thm)],[c_10724,c_9038,c_9534]) ).
cnf(c_10728,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_10707,c_10726]) ).
cnf(c_10731,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_10728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : TOP050-1 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 21:01:32 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.21/1.71 % SZS status Started for theBenchmark.p
% 8.21/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.21/1.71
% 8.21/1.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.21/1.71
% 8.21/1.71 ------ iProver source info
% 8.21/1.71
% 8.21/1.71 git: date: 2024-05-02 19:28:25 +0000
% 8.21/1.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.21/1.71 git: non_committed_changes: false
% 8.21/1.71
% 8.21/1.71 ------ Parsing...successful
% 8.21/1.71
% 8.21/1.71
% 8.21/1.71
% 8.21/1.71 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.21/1.71
% 8.21/1.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.21/1.71
% 8.21/1.71 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.21/1.71 ------ Proving...
% 8.21/1.71 ------ Problem Properties
% 8.21/1.71
% 8.21/1.71
% 8.21/1.71 clauses 35
% 8.21/1.71 conjectures 1
% 8.21/1.71 EPR 0
% 8.21/1.71 Horn 35
% 8.21/1.71 unary 35
% 8.21/1.71 binary 0
% 8.21/1.71 lits 35
% 8.21/1.71 lits eq 35
% 8.21/1.71 fd_pure 0
% 8.21/1.71 fd_pseudo 0
% 8.21/1.71 fd_cond 0
% 8.21/1.71 fd_pseudo_cond 0
% 8.21/1.71 AC symbols 0
% 8.21/1.71
% 8.21/1.71 ------ Input Options Time Limit: Unbounded
% 8.21/1.71
% 8.21/1.71
% 8.21/1.71 ------
% 8.21/1.71 Current options:
% 8.21/1.71 ------
% 8.21/1.71
% 8.21/1.71
% 8.21/1.71
% 8.21/1.71
% 8.21/1.71 ------ Proving...
% 8.21/1.71
% 8.21/1.71
% 8.21/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.21/1.71
% 8.21/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.21/1.71
% 8.21/1.71
%------------------------------------------------------------------------------